# Lecture notes by Mahowald and Unell

I'm trying to find lecture notes of Mahowald and Unell, titled "Lectures on Bott periodicity in stable and unstable homotopy at the prime 2". Does anyone happen to know if a copy exists online (and if it does, where I can find it)?

It is cited in Peter May's "Applications and generalizations of the approximation theorem", and in Mahowald's "Some homotopy classes generated by $$\eta_j$$". Both sources cite specific sections from the document, and in the latter reference, it is said to have been submitted to Springer Lecture Notes Series. Charles Rezk pointed out to me that it's also referenced in footnote 1 of Kuhn's "Geometry of James-Hopf maps", where it's said that the document dates from 1977.

• Mark Mahowald has gone to the great homotopy group in the sky. But his co-author, who got his PhD under Mahowald at Northwestern in 1979, Alan David Unell genealogy.math.ndsu.nodak.edu/id.php?id=6875 , is apparently still with us. Maybe you can track him down. – Mark L. Stone Jun 15 '19 at 21:05
• I don't have a copy of these notes. I am pretty sure that the reference to these in my 1982 Pacific J. paper (part of my thesis) was because I had showed that the EHP sequence was compatible with the filtration on QRP^infty coming from filtering projective space by its skeleta, and Mark and Alan had some version of this (maybe with a proof?) in their notes, and this was shown to me. – Nicholas Kuhn Jun 19 '19 at 15:12